Black Body Radiation Problem with an Infinite Speed of Light Perspective and Some Consequences

The black body radiation problem is considered in view of the possibility of an infinite speed of light c brought up by the author in previous work. When c is infinite, the relation $k = \frac{\omega }{c}$ which is the result of Maxwell’s equations for the Fourier transform of an electromagnetic wave excludes the possibility of the ultraviolet catastrophe for the black body radiation problem. This removes a necessity of discretization of energy. To demonstrate that under infinite speed of light and without the discretization of energy it is possible to model the photo-electric effect, the phenomenon of extraction of an electron from a metallic surface by an incident wave is considered. Magnetic sources which are found to accompany an infinite light speed are also accounted for in the field equations. Using the Fourier transform of the fields including the fields emitted by the extracted electron and the created magnetic charge, a Poynting vector computation is performed to enforce the power conservation principle. The equation relating the incident wave frequency, electron kinetic energy and the work function of the metal is obtained. As another effort to demonstrate the viability of a non-discretized energy approach when light speed is infinite, early quantum theory is visited and some non-causal and heuristic assumptions of the theory are attempted to be replaced by the findings of the proposed approach. Bohr’s atomic model is the focus of the examination that may raise the question of whether a similar treatment can be applied to other quantization procedures of the relevant atomic spectrum theory such as for magnetic quantum numbers, spin quantum numbers, etc. when speed of light is infinite.